Inserted: 20 dec 2010
Last Updated: 8 feb 2013
Journal: Discrete Contin. Dyn. Syst.
Pages: 1129 - 1150
Links: published online
We prove density estimates and elimination properties for minimizing triplets of functionals which are related to contour detection in image segmentation and depend on free discontinuities, free gradient discontinuities and second order derivatives. All the estimates concern optimal segmentation under Dirichlet boundary conditions and are uniform in the image domain up to the boundary.
Keywords: calculus of variations, free discontinuity, Image segmentation, Necessary conditions for local minimizers